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Finding the Fourth Proportional to 3,744.52, 5,616.80 and 1,147.60

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Solution

The fourth proportional to 3,744.52, 5,616.80 and 1,147.60 is: 1,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.52 : 5,616.80 = 1,147.60 : x
  2. Step 2: Convert to fraction form
    3,744.52/5,616.80 = 1,147.60/x
  3. Step 3: Cross multiply
    3,744.52x = 5,616.80 × 1,147.60
  4. Step 4: Simplify right side
    3,744.52x = 6,445,839.68
  5. Step 5: Solve for x
    x = 6,445,839.68/3,744.52
  6. Step 6: Final answer
    x = 1,721.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.